Zhou Tianshou, Chen Guanrong, Lu Qishao, Xiong Xiaohua
Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of China.
Chaos. 2006 Sep;16(3):033123. doi: 10.1063/1.2336414.
Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates.
基于沿同步流形的模式分解，同步耦合系统的李雅普诺夫指数由基础个体系统和横向系统的李雅普诺夫指数组成。推导了李雅普诺夫指数（包括横向李雅普诺夫指数）的界的估计。使用几个例子来验证理论估计。
